Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model

Hailun He; Jinbao Song; Patrick J. Lynett; Shuang Li

doi:10.1007/s00343-009-9154-7

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Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model

OriginalPaper | Updated：2023-05-16

- Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model
- Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model
- 海洋湖沼学报（英文） 2009年27卷第3期页码：621-629
- Affiliations：
  
  1. Institute of Oceanology Chinese Academy of Sciences
  2. Key Laboratory of Ocean Circulation and Waves (KLOCAW) Chinese Academy of Sciences
  3. Graduate School Chinese Academy of Sciences
  4. Department of Civil Engineering Texas A&M University
- Author bio：
- Funds：
  
  Supported by the National Science Fund for Distinguished Young Scholars (No. 40425015) and the Knowledge Innovation Programs of the Chinese Academy of Sciences (Nos. KZCX1-YW-12 and KZCX2-YW-201).
- DOI：10.1007/s00343-009-9154-7
  中图分类号：
- 网络首发：2009-11-07，
  
  纸质出版：2009
- Accepted：
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Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model[J]. 海洋湖沼学报（英文）, 2009,27(3):621-629.

He, H., Song, J., Lynett, P.J. et al. Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model., Chin. J. Ocean. Limnol. 27, 621–629 (2009). https://doi.org/10.1007/s00343-009-9154-7
Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model[J]. 海洋湖沼学报（英文）, 2009,27(3):621-629. DOI： 10.1007/s00343-009-9154-7.

He, H., Song, J., Lynett, P.J. et al. Determination of fractional energy loss of waves in nearshore waters using an improved high-order Boussinesq-type model., Chin. J. Ocean. Limnol. 27, 621–629 (2009). https://doi.org/10.1007/s00343-009-9154-7 DOI：

摘要

Abstract

Fractional energy losses of waves due to wave breaking when passing over a submerged bar are studied systematically using a modified numerical code that is based on the high-order Boussinesq-type equations. The model is first tested by the additional experimental data

and the model’s capability of simulating the wave transformation over both gentle slope and steep slope is demonstrated. Then

the model’s breaking index is replaced and tested. The new breaking index

which is optimized from the several breaking indices

is not sensitive to the spatial grid length and includes the bottom slopes. Numerical tests show that the modified model with the new breaking index is more stable and efficient for the shallow-water wave breaking. Finally

the modified model is used to study the fractional energy losses for the regular waves propagating and breaking over a submerged bar. Our results have revealed that how the nonlinearity and the dispersion of the incident waves as well as the dimensionless bar height (normalized by water depth) dominate the fractional energy losses. It is also found that the bar slope (limited to gentle slopes that less than 1:10) and the dimensionless bar length (normalized by incident wave length) have negligible effects on the fractional energy losses.

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references

Battjes J A, Stive M J F. 1985. Calibration and verification of a dissipation model for random breaking waves. J Geophys Res., 90(C5): 9159–9167.

Beji S, Battjes J A. 1992. Experimental investigation of wave propagation over a bar. Coastal Engineering, 19: 151–162.

Berkhoff J C W. 1972. Computation of combined refraction diffraction. Proc. 13th Coast. Eng. Conf., ASCE New York, USA, 1: 471–490.

Dally W R, Dean R G, Dalrymple R A. 1985. Wave height variation across beaches of arbitrary profile. J Geophys Res., 90(C6): 11917–11927.

Dingemans M. 1994. Comparison of computations with Boussinesq-like models and laboratory measurements. Mast-G8M Note No H1684, Delft Hydraulics, Delft, Netherlands.

Gobbi M F, Kirby J T. 1999. Wave evolution over submerged sill: test of a high-order Boussinesq model. Coastal Engineering, 37: 57–96.

Hansen J B, Svendsen I A. 1979. A. Regular waves in shoaling water: experimental data. Tech. Rep. ISVA Ser., 21, Technical Univ. of Denmark, Denmark.

Janssen T T, Herbers T H C, Battjes J A. 2006. Generalized evolution equations for nonlinear surface gravity waves over two-dimensional topography. J Fluid Mech., 552: 393–418.

Kennedy A B, Qin C, Kirby J T, Dalrymple R A. 2000. Boussinesq modeling of wave transformation, breaking, and runup. I:1D. J Wtrwy Port Coast Ocean Eng., 126(1): 39–47.

Lynett P J. 2006. Nearshore wave modeling with high-order Boussinesq-type equations. J Wtrwy Port Coast Ocean Eng., 132: 348–357.

Lynett P J, Liu P L F. 2004. A two-layer approach to water wave modeling. Proc R Soc A., 460: 2 637–2 669.

Madsen P A, Schaffer H A. 1998. Higher-order Boussinesqtype equations for surface gravity waves: derivation and analysis. Philos Trans Roy Soc London A., 356: 3 123–3 184.

Nwogu O. 1993. Alternative form of Boussinesq equations for nearshore wave propagation. J Wtrwy Port Coast Ocean Eng., 119(6): 618–638.

Ohyama T, Kiota W, Tada A. 1994. Applicability of numerical models to nonlinear dispersive waves. Coastal Engineering, 24: 213–297.

Rattanapitikon W, Shibayama T. 2000. Verification and modification of breaker height formulas. Coastal Engineering Journal, 42(4): 389–406.

Rattanapitikon W, Vivattanasirisak T, Shibayama T. 2003. A proposal of new breaker height formula. Coastal Engineering Journal, 45(1): 29–48.

Schaffer H A, Madsen P A. 1995. Further enhancements of Boussinesq type equation. Coastal Engineering, 26: 1–14.

Smith R R, Kraus N C. 1991. Laboratory study of wave-breaking over bars and artificial reefs. J Wtrwy Port Coast Ocean Eng., 117(4): 307–325.

Song J B, Banner M L. 2004. Influence of mean water depth and a subsurface sandbar on the onset and strength of wave breaking. J Phys Oceanogr., 34(4): 950–960.

Stansby P K, Feng T. 2005. Kinematics and depth-integrated terms in surf zone waves from laboratory measurement. J Fluid Mech., 529: 279–310.

Tsai C P, Chen H B, Hwung H H, Huang M J. 2005. Examination of empirical formulas for wave shoaling and breaking on steep slopes. Ocean Engineering, 32: 469–483.

Wei G, Kirby J T, Grilli S T, Subramanya R. 1995. A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves. J Fluid Mech., 294: 71–92.

Zou Z L. 1999. Higher order Boussinesq equations. Ocean Engineering, 26: 767–792.

Zou Z L. 2000. A new form of higher order Boussinesq equations. Ocean Engineering, 27: 557–575.

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